Dover books on mathematics nonlinear potential theory of degenerate elliptic equations
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A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions.
Starting with the theory of weighted Sobolev spaces, this treatment advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The text concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.
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Taal: en
Bindwijze: E-book
Oorspronkelijke releasedatum: 19 september 2012
Ebook Formaat: Adobe ePub
Illustraties: Nee
Hoofdauteur: Juha Heinonen
Tweede Auteur: Tero Kipelainen
Co Auteur: Tero Kilpelainen
Hoofduitgeverij: Dover Publications Inc
Originele titel: Nonlinear Potential Theory of Degenerate Elliptic Equations
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Product breedte: 133 mm
Product hoogte: 19 mm
Product lengte: 210 mm
Studieboek: Nee
EAN: 9780486149257